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Finding the Third Proportional to 41,175 and 97,996.50

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Solution

The third proportional to 41,175 and 97,996.50 is: 233,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,175 : 97,996.50 = 97,996.50 : x
  2. Step 2: Convert to fraction form
    41,175/97,996.50 = 97,996.50/x
  3. Step 3: Cross multiply
    41,175x = 97,996.50 × 97,996.50
  4. Step 4: Simplify right side
    41,175x = 9,603,314,012.25
  5. Step 5: Solve for x
    x = 9,603,314,012.25/41,175
  6. Step 6: Final answer
    x = 233,231.67

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.